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A263787 T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and exactly two more elements moved upwards than downwards 7
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 5, 10, 3, 0, 0, 0, 0, 1, 5, 37, 31, 11, 0, 0, 0, 0, 1, 5, 66, 116, 134, 31, 0, 0, 0, 0, 1, 5, 66, 267, 572, 439, 93, 0, 0, 0, 0, 1, 5, 66, 392, 1721, 2042, 1604, 248, 0, 0, 0, 0, 1, 5, 66, 392, 3522 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,26

COMMENTS

Table starts

.0...0.....0......0......0.......0.......0........0........0........0........0

.0...0.....0......0......0.......0.......0........0........0........0........0

.0...0.....0......0......0.......0.......0........0........0........0........0

.0...0.....1......1......1.......1.......1........1........1........1........1

.0...0.....2......5......5.......5.......5........5........5........5........5

.0...1....10.....37.....66......66......66.......66.......66.......66.......66

.0...3....31....116....267.....392.....392......392......392......392......392

.0..11...134....572...1721....3522....4859.....4859.....4859.....4859.....4859

.0..31...439...2042...6618...15699...26994....34659....34659....34659....34659

.0..93..1604...9298..35203..104014..232208...383663...482272...482272...482272

.0.248..5088..35064.144762..463811.1161998..2245936..3388097..4099634..4099634

.0.670.17115.149613.741173.2735525.8246455.19777342.37109391.54900952.65762489

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..424

EXAMPLE

Some solutions for n=7 k=4

..3....3....4....3....1....3....4....3....0....4....0....4....1....0....3....4

..5....1....0....1....0....0....0....0....4....1....5....0....5....5....0....1

..0....6....1....6....6....6....6....1....1....6....6....6....0....1....1....0

..1....0....2....2....2....1....1....5....6....2....2....1....2....2....2....2

..2....2....5....0....3....4....2....2....2....0....1....3....3....6....6....3

..4....4....3....4....5....2....5....4....3....3....4....5....4....3....5....5

..6....5....6....5....4....5....3....6....5....5....3....2....6....4....4....6

CROSSREFS

Diagonal is A169934.

Sequence in context: A017857 A127842 A127512 * A307710 A112207 A112208

Adjacent sequences:  A263784 A263785 A263786 * A263788 A263789 A263790

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 26 2015

STATUS

approved

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Last modified September 25 00:48 EDT 2020. Contains 337333 sequences. (Running on oeis4.)